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Counting and Basic Probability · Question 5 of 65

Question 5

EasyOriginal question

A ship signals by hoisting 3 flags one above another, chosen from 5 flags of different colours. No flag is used twice in a signal, and a different order gives a different signal. How many signals are possible?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Top flag: 5 choices; middle: 4; bottom: 3.

  2. Signals =5×4×3=60= 5 \times 4 \times 3 = 60.

Worth noting

10 is the number of ways to CHOOSE 3 flags, ignoring order; here order changes the signal. 125 lets a flag repeat.

Concept
Ordered selection without repetition
Typical time
40 s
Your time
—
The rule this testsThe counting principle
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